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Kinetics of formation of a phase with an arbitrary stoichiometric composition in a multicomponent solid solution
1National Science Center "Kharkov Institute of Physics and Technology," Academician Street 1, Kharkov 61108, Ukraine.
Summary
This study develops a kinetic theory for phase formation in multicomponent systems, simplifying complex processes to one-component equivalents. The theory accurately models nucleation and growth, providing insights into cluster formation and evolution.
Area of Science:
- Materials Science
- Physical Chemistry
- Chemical Engineering
Background:
- Phase formation in multicomponent solid solutions is crucial for material properties.
- Existing kinetic theories often simplify complex interactions in real mixtures.
- Understanding nucleation and growth dynamics is key to controlling microstructure.
Purpose of the Study:
- To develop a generalized kinetic theory for nucleation and growth in multicomponent systems.
- To establish a framework applicable to both ideal and real solutions.
- To analyze the distinct stages of phase transformation, including nucleation and coarsening.
Main Methods:
- Development of a kinetic theory based on individual atom incorporation.
- Formal reduction of multicomponent kinetic equations to one-component system analogs.
- Analysis of quasi-steady-state nucleation and transient coarsening stages.
Main Results:
- Effective diffusion coefficients and supersaturation are derived as complex functions of system parameters.
- The theory successfully predicts quasi-steady-state nucleation rates and cluster formation.
- Time evolution of cluster size distributions and stage durations are estimated.
Conclusions:
- The developed kinetic theory provides a unified approach to nucleation and growth in multicomponent systems.
- The theory's applicability extends to real mixtures, enabling direct experimental data interpretation.
- This work offers a robust framework for understanding and predicting phase transformation kinetics.